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2 years ago

What are the possible solutions for the following inequality? 2(x-3) - 4x >8

Mathematics

1 answer:

kondaur [170]2 years ago

3 0

Answer:

x is less than -7

Step-by-step explanation:

I'm not sure how to get the greater than or less than symbols, so I used the "greater/less than or equal to" symbols to represent those...

$2(x-3)-4x\geq 8\\2x-6-4x\geq 8\\2x-4x-6\geq 8\\-2x-6\geq 8\\-2x\geq 8+6\\-2x\geq 14\\x\geq -7\\x\leq -7$

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There are 5 members of a Math Club. In how many ways can the positions of a secretary, a presidents and treasurer be chosen?

Shkiper50 [21]

Answer:

If you need help, here is some tutors that can help you out!! (This is the website for them):

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3 years ago

The width of a slot of a duralumin forging is (in inches) normally distributed with μ= 0.9000 and σ = 0.0030. The specification

Lubov Fominskaja [6]

Answer:

a) 9.56%

b) 0.0019

Step-by-step explanation:

a) Find the z-scores.

z = (x − μ) / σ

z₁ = (-0.0050) / 0.0030

z₁ = -1.67

z₂ = (0.0050) / 0.0030

z₂ = 1.67

Find the probability using a chart or calculator.

P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)

P(Z < -1.67 or Z > 1.67) = 2 (0.0478)

P(Z < -1.67 or Z > 1.67) = 0.0956

b) Use a chart or calculator to find the z-score.

P(Z < -z or Z > z) = 0.01

P(Z < -z) = 0.005

z = 2.576

Find the standard deviation.

z = (x − μ) / σ

2.576 = (0.0050) / σ

σ = 0.0019

4 0

3 years ago

PLEASE HELP I NEED THIS ASAP<br> Find the vertex of y=x^2-7x+4

Goshia [24]

Answer:

$\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)$

Step-by-step explanation:

$y=x^2-7x+4\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=1,\:b=-7,\:c=4\\x_v=-\frac{b}{2a}\\x_v=-\frac{\left(-7\right)}{2\cdot \:1}\\\mathrm{Simplify}\\x_v=\frac{7}{2}\\\mathrm{Plug\:in}\:\:x_v=\frac{7}{2}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4\\$

$\mathrm{Simplify\:}\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4:\quad -\frac{33}{4}\\y_v=-\frac{33}{4}\\Therefore\:the\:parabola\:vertex\:is\\\left(\frac{7}{2},\:-\frac{33}{4}\right)\\\mathrm{If}\:a0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=1\\\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)$

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3 years ago

If you spend $150 on 3 items and 1 item cost 50% more than the other 2 How much does it cost?

ryzh [129]

$75 Hope that helps.

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4 years ago

HELP!! i will give brainliest!!

AfilCa [17]

22 kilometers :) hope that helped

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3 years ago